Subjects algebra

Discount Term

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1. **State the problem:** Solve the equation for $t$ given by $$1 - 0.10 \times \frac{t}{360} = 0.99$$ 2. **Isolate the term with $t$:** Subtract 0.99 from both sides: $$1 - 0.10 \times \frac{t}{360} - 0.99 = 0$$ Simplify the left side: $$0.01 - 0.10 \times \frac{t}{360} = 0$$ 3. **Rearrange to solve for $t$:** Move the term with $t$ to the right side: $$0.01 = 0.10 \times \frac{t}{360}$$ 4. **Multiply both sides by 360 to clear the denominator:** $$0.01 \times 360 = 0.10 \times t$$ Calculate the left side: $$3.6 = 0.10 \times t$$ 5. **Divide both sides by 0.10 to solve for $t$:** $$t = \frac{3.6}{0.10} = 36$$ 6. **Interpretation:** The discount term $t$ is 36 days. **Final answer:** $$t = 36 \text{ days}$$